Is Luke Skywalker a Hero or Super Hero?

Che Tibbyclaimed on Twitter that the first superhero movie they ever saw was Star Wars. I begged to differ that Star Wars was a super hero film, as did other wise sages . Someone on the internet was wrong. Who was it?

Skywalker as a Hero Claims

Rescued a princess from a giant space station, then blew it up like a whamprat back home or something.

Escaped from the lair of a furry snowman.

Defeated a Rancour with quick wit and an old skull.

Masterminded the downfall of Jabba the Hutt.

Became a Jedi, turned Darth Vader from the Dark Side

Claims Against Luke Sky Walker being a Hero

Actually failed to defeat the Emperor who was owning him till Daddy stopped the bullying.

Did not win the heart of the princess, and actually kissed his sister. And liked it.

You can see why Luke's feelings betrayed him...

Despite his 'Flowers in the Attic' issues, Luke seems to have done some heroic deeds. But is he Super?